Information on Result #640711
Linear OA(9123, 135, F9, 87) (dual of [135, 12, 88]-code), using concatenation of two codes based on
- linear OA(8121, 27, F81, 21) (dual of [27, 6, 22]-code or 27-arc in PG(20,81)), using
- discarding factors / shortening the dual code based on linear OA(8121, 81, F81, 21) (dual of [81, 60, 22]-code or 81-arc in PG(20,81)), using
- Reed–Solomon code RS(60,81) [i]
- discarding factors / shortening the dual code based on linear OA(8121, 81, F81, 21) (dual of [81, 60, 22]-code or 81-arc in PG(20,81)), using
- linear OA(93, 5, F9, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,9) or 5-cap in PG(2,9)), using
- discarding factors / shortening the dual code based on linear OA(93, 9, F9, 3) (dual of [9, 6, 4]-code or 9-arc in PG(2,9) or 9-cap in PG(2,9)), using
- Reed–Solomon code RS(6,9) [i]
- discarding factors / shortening the dual code based on linear OA(93, 9, F9, 3) (dual of [9, 6, 4]-code or 9-arc in PG(2,9) or 9-cap in PG(2,9)), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(9123, 135, F9, 86) (dual of [135, 12, 87]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(9123, 135, F9, 85) (dual of [135, 12, 86]-code) | [i] | ||
| 3 | Linear OA(9122, 134, F9, 86) (dual of [134, 12, 87]-code) | [i] | Truncation | |
| 4 | Linear OA(9121, 133, F9, 85) (dual of [133, 12, 86]-code) | [i] | ||
| 5 | Linear OA(9120, 132, F9, 84) (dual of [132, 12, 85]-code) | [i] | ||
| 6 | Linear OA(9119, 131, F9, 83) (dual of [131, 12, 84]-code) | [i] | ||
| 7 | Linear OA(9117, 129, F9, 81) (dual of [129, 12, 82]-code) | [i] | ||